Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem (Memoirs of the American Mathematical Society) - Softcover

Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter

 
9780821898437: Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821898434 ISBN 13: 9780821898437
Publisher: American Mathematical Society, 2014

Synopsis

A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds. All conformal transformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A ``3-Hamiltonian form'' of infinitesimal conformal automorphisms of quaternionic contact structures is presented.

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About the Author

Stefan Ivanov, Univ. of Sofia and Institute of Mathematics, Bulargian Academy of Sciences, Bulgaria

Ivan Minchev, University of Sofia, Bulgaria

Dimiter Vassilev, University of New Mexico, Albuquerque, USA

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2014
Language
English
ISBN 10 
0821898434
ISBN 13 
9780821898437
Binding
Paperback
Number of pages
82